We look at the division of 10721266 by 678 
We're looking to find how many times 678 goes into 10721266.

Step 1:
678 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 678

Moving on to step 2:
When dividing 10 by 678, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 678

Going ahead to step 3:
When dividing 107 by 678, we get 0 with a remainder of 107.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 107 after subtracting 0 from 107.
Include the next digit (2) from the dividend after 107, then repeat: 1072 / 678

Let's proceed to step 4:
If we divide 1072 by 678, we get 1 and a remainder of 394.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 678 from 1072 to get 394.
Bring next digit (1) of the dividend behind the 394 and repeat the process: 3941 / 678

On to step 5:
If we divide 3941 by 678, we get 5 and a remainder of 551.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Deduct 3390 from 3941 and we're left with 551.
Grab the next digit (2) from the dividend, add it to 551, then carry on: 5512 / 678

Advancing to step 6:
678 can be fit into 5512 8 times, resulting in a remainder of 88.
Use 8 as the next digit of our solution. 
Result so far: 158.0
Subtract 5424 from 5512 to get 88.
Grab the next digit (6) from the dividend, add it to 88, then carry on: 886 / 678

Advancing to step 7:
The number 678 fits into 886 1 times, leaving a remainder of 208.
Write down 1 as next digit of the result. 
Result so far: 1581.0
If we take 678 away from 886, we end up with 208.
Fetch the next digit (6) from the dividend, attach it to 208 and continue: 2086 / 678

Let's proceed to step 8:
If we divide 2086 by 678, we get 3 and a remainder of 52.
Put 3 as the next digit of the answer. 
Result so far: 15813.0
If we take 2034 away from 2086, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 9:
The number 678 fits into 520 0 times, leaving a remainder of 520.
The next digit of our result is 0. 
Result so far: 15813.0
Subtracting 0 from 520 leaves us with 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

Going ahead to step 10:
678 can be fit into 5200 7 times, resulting in a remainder of 454.
Put 7 as the next digit of the answer. 
Result so far: 15813.07
Subtracting 4746 from 5200 leaves us with 454.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

Step 11:
When dividing 4540 by 678, we get 6 with a remainder of 472.
Use 6 as the next digit of our solution. 
Result so far: 15813.076
The remainder is 472 after subtracting 4068 from 4540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4720, and continue the process.

Moving on to step 12:
When dividing 4720 by 678, we get 6 with a remainder of 652.
Record the quotient 6 as the next digit in the result. 
Result so far: 15813.0766
If we subtract 4068 from 4720, we get 652.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6520, and continue the process.

The quotient of the division is 15813.0766, and the remainder is 0.00652.